Finding the Fourth Proportional to 10,084.33, 13,916.31 and 5,607.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,084.33 : 13,916.31 = 5,607.82 : x
2. Step 2: Convert to fraction form
   10,084.33/13,916.31 = 5,607.82/x
3. Step 3: Cross multiply
   10,084.33x = 13,916.31 × 5,607.82
4. Step 4: Simplify right side
   10,084.33x = 78,040,161.54
5. Step 5: Solve for x
   x = 78,040,161.54/10,084.33
6. Step 6: Final answer
   x = 7,738.76